Skip to Main Content
Coursera

Press the up and down arrow key to navigate

    Goals
  • Take a free course
    Subjects
  • Browse all subjects

Earn a Degree

Breakthrough pricing on 100% online degrees designed to fit into your life.

Data Science

University of Colorado Boulder Logo
University of Colorado Boulder
Master of Science in Data Science
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master in Computer Science
View all Data Science degrees

Business

University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master of Business Administration (iMBA)
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master of Science in Management
View all Business degrees

Computer Science

Penn Engineering Logo
Penn Engineering
Master of Computer and Information Technology
Arizona State University Logo
Arizona State University
Master of Computer Science
View all Computer Science degrees

More Degrees

Public HealthBachelor's DegreesEngineeringMaster's DegreesSocial Sciences

Earn credit toward a master's

undefined Logo
Big Data MasterTrack® Certificate
Degree credit•Expert feedback
undefined Logo
Innovation Management & Entrepreneurship MasterTrack® Certificate
Degree credit•Expert feedback
View all MasterTrack Certificates

Earn a Certificate

In 3-9 months, gain the skills to break into a new career or take your career to the next level.

Data Science

undefined Logo
Google Data Analytics
No prerequisites•Self-paced
undefined Logo
IBM Data Science
No prerequisites•Self-paced
undefined Logo
Machine Learning for Analytics MasterTrack® Certificate
Expert feedback•Credit eligible
View all Data Science Certificates

Business

undefined Logo
Facebook Social Media Marketing
No prerequisites•Self-paced
undefined Logo
Google Project Management:
No prerequisites•Self-paced
undefined Logo
IBM Machine Learning
Self-paced
View all Business Certificates

Computer Science

undefined Logo
AI and Machine Learning MasterTrack® Certificate
Expert feedback•Credit eligible
undefined Logo
DeepLearning.AI TensorFlow Developer
Certification preparation•Self-paced
undefined Logo
Software Engineering MasterTrack® Certificate
Expert feedback•Credit eligible
View all Computer Science Certificates

More Certificate Programs

Computer SciencePhysical Science and EngineeringSocial SciencesLanguage Learning

Launch or advance your career

Data Science

Data ScientistData AnalystBI AnalystBI DeveloperData Engineer

Business

Agile Project Manager (IT)Digital Marketing SpecialistDigital Marketing ManagerProject CoordinatorProject ManagerSocial Media Coordinator

Computer Science

Computer User Support SpecialistNetwork AdministratorNetwork EngineerProduct Designer

Arts and Humanities

Graphic DesignerUI/UX DesignerView all Professional Certificates

Data Science

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

PythonSQLMicrosoft ExcelExcelMachine LearningData SciencePower BIArtificial IntelligenceStatisticsFree Courses Data ScienceView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
University of Colorado Boulder Logo
University of Colorado Boulder
Master of Science in Data Science
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master in Computer Science
HSE University Logo
HSE University
Master of Data Science
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Google Data Analytics
No prerequisites•Self-paced
undefined Logo
IBM Data Science
No prerequisites•Self-paced
undefined Logo
Machine Learning for Analytics MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Business

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

Project ManagementMicrosoft ExcelExcelBlockchainDigital MarketingStock MarketPower BIMarketingAccountingFree Courses Data ScienceView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master of Business Administration (iMBA)
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master of Science in Management
Macquarie University Logo
Macquarie University
Global Master of Business Administration (Global MBA)
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Facebook Social Media Marketing
No prerequisites•Self-paced
undefined Logo
Google Project Management:
No prerequisites•Self-paced
undefined Logo
IBM Machine Learning
Self-paced
View all Certificates

Computer Science

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

PythonJavaCybersecurityBlockchainWeb DevelopmentC++AWSArtificial IntelligenceJavascriptGuided ProjectsView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
Penn Engineering Logo
Penn Engineering
Master of Computer and Information Technology
Arizona State University Logo
Arizona State University
Master of Computer Science
HSE University Logo
HSE University
Master of Computer Vision
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
AI and Machine Learning MasterTrack® Certificate
Expert feedback•Credit eligible
undefined Logo
DeepLearning.AI TensorFlow Developer
Certification preparation•Self-paced
undefined Logo
Software Engineering MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Information Technology

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

GoogleCybersecurityAWSLinuxDevOpsEthical HackingMicrosoftAzureGoogle CloudKubernetesView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
Penn Engineering Logo
Penn Engineering
Master of Computer and Information Technology
Arizona State University Logo
Arizona State University
Master of Computer Science
University of Illinois at Urbana-Champaign Logo
University of Illinois at Urbana-Champaign
Master of Computer Science
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Google IT Support
No prerequisites•Self-paced
undefined Logo
Preparing for Google Cloud Certification: Cloud Architect
Certification preparation•Self-paced
undefined Logo
Cybersecurity MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Language Learning

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

EnglishKoreanFrench LanguageEnglish SpeakingFrenchJapaneseChineseEnglish GrammarEnglish WritingKorean LanguageView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
National Research Tomsk State University Logo
National Research Tomsk State University
Global MA in English Language Teaching Leadership
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Arizona State University TESOL
Certification preparation•Self-paced
undefined Logo
English Proficiency for Graduate Studies Certificate
Expert feedback•Live sessions
View all Certificates

Health

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

PsychologyMedicineBiologyMedicalNeuroscienceBioinformaticsMental HealthAnatomyFree Courses PsychologyAgricultureView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
Imperial College London Logo
Imperial College London
Global Master of Public Health
University of Michigan Logo
University of Michigan
Master of Science in Population and Health Sciences
University of Michigan Logo
University of Michigan
Master of Public Health
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Health Informatics MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Personal Development

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

Communication SkillsSoft SkillsCritical ThinkingPublic SpeakingEmotional IntelligenceFree Courses PsychologyTeachingMindfulnessPositive PsychologyTeaching EnglishView all skills

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
CertNexus Certified Ethical Emerging Technologist
Certification preparation•Self-paced
undefined Logo
ICPM Certified Supervisor
Certification preparation•Self-paced
View all Certificates

Physical Science and Engineering

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

MatlabPhysicsCalculusCivil EngineeringElectronicsAutocadGISEmbedded SystemsChemistryArduinoView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
University of Colorado Boulder Logo
University of Colorado Boulder
Master of Science in Electrical Engineering
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
IBM AI Engineering
Self-paced
undefined Logo
Preparing for Google Cloud Certification: Cloud Engineer
Certification preparation•Self-paced
undefined Logo
Industrial Internet of Things MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Social Sciences

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

LawEconomicsSustainabilityJournalismInternational RelationsTeachingSociologyTeaching EnglishEducationMacroeconomicsView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
Imperial College London Logo
Imperial College London
Global Master of Public Health
University of Michigan Logo
University of Michigan
Master of Public Health
O.P. Jindal Global University Logo
O.P. Jindal Global University
M.A. in International Relations, Security, and Strategy
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Social Work MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Arts and Humanities

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

ArtPhotoshopMusicPhotographyCreative WritingDrawingFilmArt HistoryMusic TheoryPhilosophyView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
University of North Texas Logo
University of North Texas
Bachelor of Applied Arts and Sciences
View all degrees

Certificate programs

In 3-9 months, gain the skills to break into a new career or take your career to the next level.
undefined Logo
Google UX Design
No prerequisites•Self-paced
undefined Logo
UX Design MasterTrack® Certificate
Expert feedback•Credit eligible
View all Certificates

Math and Logic

Get started

Free coursesMost popularGuided Projects under 2 hours

Popular skills

CalculusMathematicsLinear AlgebraAlgebraMathProbabilityMathematics For Machine LearningOptimizationPre CalculusMultivariable CalculusView all skills

Degrees

Breakthrough pricing on 100% online degrees designed to fit into your life.
University of London Logo
University of London
Bachelor of Science in Computer Science
View all degrees
  • Browse
  • Top Courses
  • Profile
  • My Purchases
  • Get 50% Off
  • Settings
  • Updates
  • Accomplishments
  • Help Center
    Coursera
    1. Probability Theory, Statistics and Exploratory Data Analysis
    2. Week 1
    3. Coins, dices and conditional probability
    PreviousNext
      • Completed
        Reading: About University
        . Duration: 10 minutes10 min
      • Completed
        Reading: Rules on the academic integrity in the course
        . Duration: 10 minutes10 min
      • Completed
        Pre-survey on HSE online courses
        . Duration: 10 minutes10 min
      • Completed
        Video: LectureIntroduction to the 1st week
        . Duration: 3 minutes3 min
      • Completed
        Video: LectureConditional probability. Motivation and Example
        . Duration: 13 minutes13 min
      • Completed
        Video: LectureConditional probability. Definition
        . Duration: 8 minutes8 min
      • Completed
        Video: LectureIndependent events. Example
        . Duration: 7 minutes7 min
      • Completed
        Video: LectureIndependent events. Definition
        . Duration: 12 minutes12 min
      • Completed
        Quiz: Coins, dices and conditional probability
        4 questions
      • Completed
        Quiz: Independence and intersection
        1 question
      • Completed
        Video: LectureMosaic Plot. Visualization of conditional probabilities and Independence
        . Duration: 11 minutes11 min
      • Completed
        Quiz: Fair coin and independence
        3 questions
      • Completed
        Video: LectureUsing independence to find probabilities. Examples
        . Duration: 10 minutes10 min
      • Completed
        Video: LecturePairwise and mutual independence
        . Duration: 12 minutes12 min
      • Completed
        Quiz: Mutual independence conditions
        1 question
      • Completed
        Video: LectureBernoulli Scheme
        . Duration: 11 minutes11 min
      • Completed
        Video: LectureLaw of total probability
        . Duration: 14 minutes14 min
      • Completed
        Quiz: Call center total probability
        1 question
      • Completed
        Video: LectureBayes's rule
        . Duration: 4 minutes4 min
      • Completed
        Quiz: Bayes's taxi companies
        1 question
      • Completed
        Quiz: Rare disease paradox
        1 question
      • Completed
        Video: LecturePython for conditional probabilities
        . Duration: 9 minutes9 min
      • Completed
        Video: LectureConditional probability. Highlights
        . Duration: 3 minutes3 min
    QuizQuiz • 20 min20 minutes

    Coins, dices and conditional probability

    Activity Completed
    Submit your assignment
    Due DateMay 25, 2:59 AM EDTMay 25, 2:59 AM EDT
    Activity Completed
    Receive grade
    To Pass100% or higher
    Grade
    100%
    We keep your highest score

    Confirm Navigation

    Are you sure you want to leave this page?
      
    Coins, dices and conditional probability
    Graded Quiz • 20 min

    Due May 25, 2:59 AM EDT

    Check
    Congratulations! You passed!
    To Pass 100% or higher
    Grade
    100%

    Coins, dices and conditional probability

    Latest Submission Grade
    100%
    1.
    Question 1

    A fair coin is tossed 4 times. Provided that at least 2 heads occurred within the 4 tossings, what's the probability that at least one tail also occurred? Enter the irreducible fraction below (e.g., 13/28):

    1 / 1 point
    10/11
    Check
    Correct
    2.
    Question 2

    Two fair dices are rolled simultaneously. Find the conditional probability of event "both dice got equal values" provided that the sum of values on dice is less than six. Enter the irreducible fraction below (e.g., 13/28):

    1 / 1 point
    1/5
    Check
    Correct
    3.
    Question 3

    A coin is tossed until it gives either 10 heads or 10 tails. Player A bets on 10 heads and player B bets on 10 tails. The game is unexpectedly interrupted after 15 tossings with 8 heads and 7 tails observed. What would be the fair ratio to split the prize pool between player A and B? Consider it be the ratio of winning probabilities of the players.

    1 / 1 point
    Check
    Correct
    4.
    Question 4

    In blackjack there's a 52-cards deck (4 suits of 13 cards each: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace). Digits are count as their face value, Aces count for 11 and pictures count for 10. Player with maximum total value of cards wins, provided that the value doesn't exceed 21. Croupier has two pictures. Player has an ace. What's the probability that player wins as the next card is dealt?

    1 / 1 point
    Check
    Correct